
Linked here are the official downloadable resources provided by Cambridge to support learners on the 0580 IGCSE Maths course.
It includes:
- Syllabus document containing list of course content
- Revision Checklist (Core)
- Revision Checklist (Extended)
- Cambridge Learner Guidance
There is also a link to an external website which hosts all Cambridge past papers from the past 20 years, along with their mark-schemes.
Note, as the syllabus is changed slightly every few years, it is better to use more recent papers (2014 onwards) for past paper practise.
Walkthrough videos / worked solutions to recent papers will be added to this course at a later date.
Linked here are the official downloadable resources provided by Edexcel to support learners on the Mathematics A IGCSE course.
It includes:
- Syllabus document containing list of course content
- Formula Sheet (Higher)
- Formula Sheet (Foundation)
- Notation List
There are also links to the Edexcel website where you can access past papers from previous years, along with their mark-schemes. As the syllabus was changed slightly in previous years and so the resources are split into two sections (2009 and 2016 courses).
Note: Whilst it is slightly better to use the newer 2016 papers where possible, if you are preparing properly and completing lots of papers you will run out of these fairly quickly. The style of questions on the 2009 course is not too different for most topics and so papers from these years still provide excellent practise - particularly if you are several months or more away from sitting the exams.
Please bear in mind however that the newer papers have been made significantly more difficult, therefore the grade boundaries for older papers are much higher - scoring 50% on a 2014 paper might be a Grade 4/5 where as 50% on a 2022 paper is close to a Grade 7!
This video introduces collecting like terms in order to simplify algebraic expressions.
This is a skill you will almost certainly have seen before, but as it is essential to almost every algebraic question it is very important that you do this accurately and do not make any silly mistakes.
If you are already confident on this skill, then skip the video entirely. The course is designed to provide for a whole range of prior knowledge - so more advanced students are not expected to watch all the videos.
This video covers simplifying algebraic expressions when multiplying and dividing terms.
As with Collecting Like Terms, this is an absolutely crucial skill that you will have seen before and need to make sure you can do it accurately 100% of the time.
Again, if you are already confident with this skill then skip the video entirely.
This video covers the core skill of expanding a single bracket, which you will have seen before.
There are further practice questions of these basic type of questions from CorbettMaths linked here.
The video then extends to look at simplifications which require the expansion of two separate single brackets, before collecting like terms. Many students make mistakes with the negatives on this, so make sure you know how to avoid them before skipping the video.
Practise of these types of more difficult questions is included in the mixed "Maths Genie - Expanding & Factorising" resource linked to on the next video.
This video covers the core skill of factorising expressions into a single bracket. This underpins many other skills within algebra so make sure you are 100% confident on being able to factorise fully before moving on.
Linked here are further practise questions from CorbettMaths on factorisation specifically, as well as mixed exam questions on both expanding & factorising from MathsGenie.
This video covers expanding double brackets, with two slightly different methods shown. Use whichever you prefer, just make sure you can repeat this with 100% accuracy every time, as again it is a skill which underpins several other areas of algebra.
This video covers factorising quadratic expressions into double brackets using the 'sum & product' method.
With practise you should become very confident and fast at completing this skill.
Linked here are further practise questions from CorbettMaths on factorising double brackets specifically, only attempt Q1-20 at this stage. The method for how to complete Q21-32 is covered later in the course.
This video covers the expansion of three brackets using two different methods (though use of the grid method is strongly encouraged).
Whilst this skill is not crucial to other areas of algebra at IGCSE level, once the process is learned it should be highly repeatable, and the exam questions are usually very straightforward - these should be "banker" marks.
This video introduces the basics of solving two-step equations using different representations to demonstrate the concepts involved. You will have definitely seen this before so may be able to skip this video if already confident. However, as this is one of the most fundamental skills in all of mathematics it is crucial that you understand it fully.
Further practise exam questions are linked to with the next video.
This video covers solving equations questions where the variable (x) appears on both sides of the equation.
The linked exam question packs contain a mixture of all questions seen in the first two videos of this unit.
This video covers questions which require you to first form the equation from a variety of scenarios such as area and perimeter of shapes, angles in parallel lines or worded problems.
These are an exam question favourite which appears almost every year in some form, usually worth several marks and don't require any advanced skills - so it is worth practising these!
This video covers a variety of problems where there is a fraction in the equation. These types of question usually cause students the most difficulty when solving equations, so it is recommended to practise these until you are fully confident.
Linked here are further practise questions from CorbettMaths on dealing with fractions specifically, only attempt Q1-9 at this stage. The method for how to complete Q10-15 is covered later in the course.
This video covers problems where both sides of the linear equation are given as fractions, where this is dealt with by "cross-multiplying".
The linked CorbettMaths questions target this skill specifically.
This videos covers the equations of vertical and horizontal lines. This is a very basic skill, but is forgotten by students surprisingly often so make sure you can remember it!
There are no exam question packs that target this skill specifically, as it usually only appears as part of other questions such as graphing inequalities or simultaneous equations.
This video covers the plotting of linear graphs by first constructing a table of values. This is a relatively easy skill, and the method is applicable to the plotting of many other types of graph later in the course, so make sure you are confident on it!
Linked are a few practise exam questions for this skill, you might not need to complete them all.
This video introduces the standard form of a linear equation, "y=mx+c" and demonstrates how we can find out key features of the graph - it's gradient and y-intercept - from the equation; allowing us to then sketch it quickly without filling in a table of values.
There are no exam questions on this directly, but understanding this skill underpins the rest of this unit.
This video covers the three different ways it is possible to identify the gradient of a straight line:
- Using the graph itself to find the change in y and change in x
- Rearranging to identify it from the equation
- Using the formula to find gradient between two points
Linked are further exam questions, it is strongly recommend that you practise this skill until you are extremely confident in it - doing so will make the more challenging parts of this unit MUCH easier.
This video covers how to use Pythagoras to find the distance of a straight line between two coordinates.
Linked are some practise questions for this skill, you are unlikely to need to complete them all.
This video covers how to find the equation of the line in the format of "y=mx+c" from a variety of different scenarios.
It is recommend that you practise from the linked MathsGenie exam question pack, as being confident on this skill is crucial to understanding Parallel and Perpendicular Lines later in the unit. There is also a pack of extension exam questions from CorbettMaths, which are for those targeting the A/A* grades.
This video covers how to find the midpoint of a line using the graph, and finding the midpoint of two coordinates using the formula.
There is a linked worksheet available to use for further practise - these are a slightly different format from the exam questions packs but still worthwhile completing if you are not yet confident on this skill.
This video covers how to identify whether lines are parallel, and how to find the equation of a line that is parallel to another.
The exam questions for this skill are mixed in with the Perpendicular lines exam questions packs linked to on the next video, please watch that video and attempt the questions when mixed together.
This video covers how to identify if two lines are perpendicular, as well as finding the equation of a perpendicular line.
The linked exam question packs contain a mixture of Parallel and Perpendicular Lines questions as a key skill is to interpret the difference between them. There is also a pack of extension exam questions from CorbettMaths, which are for those targeting the A/A* grades.
This video covers how to represent inequalities on a number line, and how to express regions of a number line as an inequality.
Attached there is a downloadable worksheet to practise this skill further.
This video covers how to combine multiple inequality statements into one single inequality using the number line.
Attached there is a downloadable worksheet to practise this skill further.
This video covers solving one-sided inequalities, using exactly the same skills as with solving equations.
For further practise there is a mixture of inequalities exam questions in the packs linked to on the next video.
This video covers inequalities where there are two signs, with the expression in the middle. There are two slightly different methods for dealing with this, both are looked at here.
The linked exam question packs contain a mixture of all of the different inequalities questions that have been covered so far in this unit.
Not uploaded as missing the outro.
This video covers the fundamental laws of indices, including the rules for multiplying and dividing indices, as well as dealing with brackets.
The linked exam question pack provides further practise of these core skills.
This video covers how to deal with negative powers for problems involving numbers as well as algebra.
Further exam questions are available in the mixed packs linked to from the next video (Fractional Indices).
This video covers how to deal with fractional powers for both algebraic and numerical problems.
The linked exam question packs contain a mixture of questions for Negative and Fractional indices.
This video covers some more difficult examples of negative and fractional indices, as well as how to simplify a bracket being raised to a power with multiple terms inside the bracket.
Further practice of these questions is available in the downloadable exam question packs.
This video covers the most difficult type of indices question where you are required to convert numbers to the same 'base' before then solving problems by simplifying.
The textbook exercise attached contains further practise questions.
This video covers the core skill of substituting numbers into different expressions to find their value. This is a relatively straightforward skill, but make sure you avoid making mistakes with negatives or the order of operations.
Further practise is available in the linked exam question pack.
This video covers rearranging simple formulae with only two or three steps required. This topic is also known as "Changing the Subject" and the skills developed are invaluable to understanding more advanced algebra.
The linked MathsGenie question pack targets this skill specifically. The downloadable Maths4Everyone question pack contains a range of different Formulae exam questions that may appear.
This video covers how to rearrange slightly more complex formulae that involves dealing with powers and roots, as well as fractions.
The linked CorbettMaths question pack has a few questions appropriate to this level. Further practice is available in the question packs linked to on the next video (Rearranging Difficult Formulae).
This video covers the most difficult rearranging formulae questions that appear on the IGCSE, namely where the term being made the subject appears twice and must be dealt with by factorisation.
The linked exam question packs provide lots of further practise which is highly recommended - you are certain to get at least one rearranging formulae question, and it often appears twice.
This video covers how to solve quadratics by first factorising the expression, which was covered in the first unit on algebraic manipulation. This allows the solutions to then be easily identified from the factorised form.
Further practise is provided in the linked exam question packs.
This video covers how to use the solutions identified from the previous video to sketch the graph of a quadratic, without using a table of values. This is a vital part of understanding quadratics so make sure you understand this properly before moving on.
Further exam question practise is provided in the CorbettMaths pack downloadable from here.
This video covers how to use the quadratic formula to solve quadratics which cannot be easily factorised. Again this is a fundamental part of quadratics, and will be used at least once in the exam so make sure you can apply it accurately each time.
Further exam question practise on using the formula specifically is available in the linked MathsGenie pack.
Mixed practise of solving quadratic problems using both factorisation and the formula is available in the downloadable Maths4Everyone pack.
This video covers how to identify the solutions to simultaneous equations from their graphs.
Further exam questions are available in the linked MathsGenie pack.
This video introduces the basics of simultaneous equations, first using a real-life example to show the principle before representing this algebraically.
Further exam question practise is available in the packs linked to on subsequent videos.
This video builds on the introductory concepts from the previous video and extends to more difficult examples. This requires manipulating the equations by multiplying one or both of them to ensure that the coefficients in each equation are the same in order to enable them to be eliminated.
The linked MathsGenie pack contains further exam style practise questions.
This video covers an alternative method of solving linear simultaneous equations, through rearranging one equation and then substituting it into the other. Whilst either elimination or substitution can be used for any linear set of equations, learning how to solve by substitution is required for the next video which covers solving simultaneous equations involving a quadratic.
The downloadable Maths4Everyone pack contains some mixed practise questions of everything covered so far - try to practise using the substitution method for some of these questions.
This video covers how to solve simultaneous equations where one of the equations is a quadratic, and must be done by using substitution as the elimination method will not work.
The downloadable Maths4Everyone pack has further exam questions to practise - completing these is strongly recommended as these are likely to appear on the exam.
This video covers the basics of sequences, including generating a sequence, continuing a sequences, identifying the term to term rule, and checking if a number is in a sequence.
The linked CorbettMaths question packs contain mixed exam questions to practise, including a separate pack on problems with sequences given as patterns.
This video covers how to find the nth term (rule) for a sequence. Whilst there are several different ways of doing this, for Pearson the formula is used, as this closely links to the sum of a sequence formula seen in the next video.
The linked exam question packs provide further practise, however the solutions will not use the same method as shown here.
This video covers how to find the sum of a sequence using the formula. Whilst these usually appear at the end of the paper and many students find difficult, they are accessible if in the exam you remember to find the formula from the formulae sheet - it is then just a case of substitution (no more difficult than the quadratic formula).
There is a downloadable textbook exercise if you would like further practise questions.
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